448680 has 32 divisors (see below), whose sum is σ = 1346400. Its totient is φ = 119616.

The previous prime is 448667. The next prime is 448687. The reversal of 448680 is 86844.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 448680.

It is not an unprimeable number, because it can be changed into a prime (448687) by changing a digit.

448680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1750 + ... + 1989.

It is an arithmetic number, because the mean of its divisors is an integer number (42075).

2⁴⁴⁸⁶⁸⁰ is an apocalyptic number.

448680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448680 is an abundant number, since it is smaller than the sum of its proper divisors (897720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

448680 is a wasteful number, since it uses less digits than its factorization.

448680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 448680 is about 669.8358007751. The cubic root of 448680 is about 76.5559418234. Note that the first 3 decimals are identical.

It can be divided in two parts, 448 and 680, that added together give a triangular number (1128 = T₄₇).

The spelling of 448680 in words is "four hundred forty-eight thousand, six hundred eighty".